Sequences and Series
Find the sum of first 22 terms of an AP in which d=7 and 22nd term is 149.
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If λ,μ be a real numbers such that x3−λx2+μx−6=0 has its roots real and positive then the minimum value of μ is
Product of n positive numbers is unit. The sum of these numbers can not be less than
If the mean of 5 observations x,x+2,x+4,x+6 and x+8 is 11, find the value of x.
If a1,a2,...an be an A.P. of +ive terms, then k=1∑nak≥na12+(n−1)da1 where d is common difference of A.P. If you think this is true write 1 otherwise write 0 ?
If x be the AM and y,z be two GM's between two positive numbers, then xyzy3+z3 is equal to -
the arethmetic mean of two positive numbers a and b is twice their GM then a:b is
If a,b,c are three positive numbers,then the minimum value of the expression bcaab(a+b)+bc(b+c)+ca(c+a)
If three positive numbers a,b and c are in A.P. such that abc=8, then the minimum possible value of b is